Pre-listening:
a. What do you know about the golden mean?
I know that it is a measure related to the number phi = 1.618...
b. What's the connection between the golden mean and mathematics?
I think that the connection between the golden mean and mathematics is the number phi that simultaneously is related to the Fibonacci series.
c. Mention five words you think you will listen to in the video.
Phi, Fibonacci, measure, golden mean, theory.
II. While viewing and after viewing
Please click on the following link watch the video and then answer the following questions. http://es.youtube.com/watch?v=2zWivbG0RIo
1. What's the process to construct the Fibonacci numbers?
The first two numbers are one, they are added together, and thus each next number is the sum of the two previous
So, If A0 = 0 and A1 = 1
Thus, Fibonacci sequence is equal to {0, 1, 1, 2, 3, 5, 8,…}
2. Why are many things designed using the Fibonacci rectangle and spiral?
Many things designed using the Fibonacci rectangle and spiral because they have very good proportions that make it pleasing to the eye and do catch the attention of people.
3. Mention some examples of the Fibonacci spiral in the world around us and inside us.
DNA, some flowers, some mobile phones as iPhone, chocolate Kit Kat, galaxies…
4. In your opinion what are the applications of the Fibonacci theories?
In my opinion I think that some applications of the Fibonacci theories may be in the use for designs pleasing to the eye, in constructions, in music, paints, among other.
Video 2: "The Golden Mean" (week 8)
Pre-listening:
a. What do you know about the golden mean?
I know that it is a measure related to the number phi = 1.618...
b. What's the connection between the golden mean and mathematics?
I think that the connection between the golden mean and mathematics is the number phi that simultaneously is related to the Fibonacci series.
c. Mention five words you think you will listen to in the video.
Phi, Fibonacci, measure, golden mean, theory.
II. While viewing and after viewing
Please click on the following link watch the video and then answer the following questions.
http://es.youtube.com/watch?v=2zWivbG0RIo
1. What's the process to construct the Fibonacci numbers?
The first two numbers are one, they are added together, and thus each next number is the sum of the two previous
So, If A0 = 0 and A1 = 1
Then A2 = 0+1 = 1; A3 = 1+1 = 2; A4 = 1+2 = 3; A5 = 2+3 = 5; A6 = 3+5 = 8;… = { A0, A1, A2, A3, A4, A5 , A6,…}
Thus, Fibonacci sequence is equal to {0, 1, 1, 2, 3, 5, 8,…}
2. Why are many things designed using the Fibonacci rectangle and spiral?
Many things designed using the Fibonacci rectangle and spiral because they have very good proportions that make it pleasing to the eye and do catch the attention of people.
3. Mention some examples of the Fibonacci spiral in the world around us and inside us.
DNA, some flowers, some mobile phones as iPhone, chocolate Kit Kat, galaxies…
4. In your opinion what are the applications of the Fibonacci theories?
In my opinion I think that some applications of the Fibonacci theories may be in the use for designs pleasing to the eye, in constructions, in music, paints, among other.